[Alamo-Girl]

Thank you for your reply! That is one view, the Aristotlean mathematics view - but there is another view, the Platonist view.

For Lurkers: under the Aristotle view, the mathematician invents the math - under the Plato view, the mathematician discovers the math, e.g. pi exists and was only discovered.

[RightWhale]

That was Goedel's idea on the subject. He was the best logician since Aristotle. Once you have Incompleteness in your current reading library you will be a happy camper. Not that you aren't already happy, in which case you will be even happier.